The Keith will spend $16 to rent 1 movie and 2 video games from the store.
How to solve the equation of two variable?Let's assume the rental fee for each movie is "m" and the rental fee for each game is "g".
From the given information, we can form the following system of equations:
3m + 2g = 25 (Calvin's rental)
2m + g = 14.75 (Samantha's rental)
We can solve for "m" and "g" by using elimination or substitution method. Here, we will use substitution method.
From the second equation, we can solve for "g" in terms of "m":
g = 14.75 - 2m
Substituting this into the first equation, we get:
3m + 2(14.75 - 2m) = 25
Simplifying this, we get:
3m + 29.5 - 4m = 25
-m + 29.5 = 25
-m = -4.5
m = 4.5
Now that we know the rental fee for each movie is $4.50, we can find the rental fee for each game by substituting "m" into either of the original equations:
2(4.5) + g = 14.75
g = 14.75 - 9 = 5.75
So the rental fee for each game is $5.75.
To find how much Keith will spend to rent 1 movie and 2 video games, we can simply add up the rental fees:
1(4.5) + 2(5.75) = 16
Therefore, Keith will spend $16 to rent 1 movie and 2 video games from the store.
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Given circle D, calculate the measure of arc AC if AD=16 and BD=13.
Answer:
18.66
Step-by-step explanation:
Using the pythagorean theorem:
a^2 + b^2 = c^2
a^2 + 13^2 = 16^2
a^2 + 169 = 256
a^2 = 87
a = 9.33
Since we need to figure out length AC and not just AB, we can multiply our answer by 2:
9.33 x 2 = 18.66
Answer:
71.32°
Step-by-step explanation:
The measure of angle ADB can be found using the trig relation ...
Cos = Adjacent/Hypotenuse
__
cos(ADB) = DB/AD = 13/16
Using the inverse function, ...
∠ADB = arccos(13/16) ≈ 35.659°
Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.
Arc AC = 2×35.659° = 71.318° ≈ 71.32°
The measure of arc AC is about 71.32°.
_____
Additional comment
The length of arc AC is the product of the radius and its radian measure:
length AC = (16)(71.32π/180) ≈ 19.92 . . . units
28. Think About a Plan Draw AABC. Construct another
triangle so that the three sides of AABC are the
midsegments of the new triangle.
. Can you visualize or sketch the final figure?
• Which segments in your final construction will be
parallel?
DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.
The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.
Hence, DE is the segment parallel to side B.
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There are 20 dogs and 15 cats in a pet shop. Find the ratio of cats to dogs.
If [tex] \rm log_{3}( |5 - 2x| ) > 4[/tex] then x lies in interval of :
i)
[tex] ( - 43 \: , \: 38)[/tex]
ii)
[tex]( - \infty \: , \: 38 ) \cup(43 \: , \: \infty )[/tex]
iii)
[tex]( - 38 \: , \: 43)[/tex]
iv)
[tex]( - \infty \: , \: - 43) \cup(38 \: , \: \infty )[/tex]
[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]
NEED HELP ON THIS ASAP!!!!!!
Answer: Choice B (If you need to do questions like this in the future i recommend using the desmos graphing calculator online, inputting the equations and comparing them)
help the question is on the image.
Answer:
[tex]\boxed {tan\theta = \frac{2}{3}}[/tex]
Step-by-step explanation:
Let's derive a formula :
⇒ Area (triangle) × 3 = Area (square)
⇒ 1/2(bh) × 3 = a²
∴ But a = h (shown in diagram)
⇒ 3/2(bh) = h²
⇒ h = 3b/2
Now, taking tan θ :
⇒ tan θ = b/h
⇒ tan θ = b/(3b/2)
⇒ tan θ = 2b/3b
⇒ tan θ = 2/3
A=(1+1/2).(1+1/3). ... .(1+1/2020)
[tex]A=\left(1+\dfrac{1}{2}\right)\cdot \left(1+\dfrac{1}{3}\right)\cdot\ldots\cdot \left(1+\dfrac{1}{2020}\right)=\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\ldots\cdot \dfrac{2021}{2020}=\dfrac{\dfrac{2021!}{2}}{2020!}=\\\\=\dfrac{2021}{2}=1010.5[/tex]
can someone please help mee i need the exact answer(30 points will give brainliest!!!)
Answers:
Domain: [tex]\boldsymbol{(-\infty, \infty)}[/tex]
Range: [tex]\boldsymbol{(-\infty, \infty)}[/tex]
=======================================================
Explanation:
domain = set of all possible x inputs
range = set of all possible y outputs
--------------
In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.
We can say x is between [tex]-\infty[/tex] and [tex]\infty[/tex] and write [tex]-\infty < x < \infty[/tex]
That turns into the interval notation [tex](-\infty, \infty)[/tex]
The curved parenthesis are always used with either infinity because we cannot reach them.
--------------
The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.
If it peaked at y = 4, then the range would be [tex](-\infty, 4][/tex], but instead the graph goes beyond y = 4 because of that upward arrow.
What is the value of y?
Answer:
y
Step-by-step explanation:
the value of y may be y or on the alphabetic order 25th
What is the smallest prime factor of 11^7 +7^5?
Answer:
3 is the smallest prime factor.
Step-by-step explanation:
ionk how to explain it but trust me its right.
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
800 grams =
pounds
700 grams =
pounds
The weight of the full steel bead tire in pounds is 1.76 pounds
The weight of the lighter steel bead tire in pounds is 1.54 pounds.
What are the weights of the tires?Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
The weight of the full steel bead tire in pounds = 800 / 453.592 = 1.76
The weight of the lighter steel bead tire in pounds = 700 / 453.592 = 1.54
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How are rays and angles related? a ray , and an angle is two . the measure of an angle related to the length of its sides. so, the measure of an angle the same at all distances from its vertex.
A ray is a part of a line that starts at a point (called the endpoint) and extends infinitely in one direction. An angle is formed when two rays share a common endpoint (vertex).
A ray has one endpoint: A ray is a one-dimensional figure that starts at a single point (the endpoint) and extends infinitely in one direction. On the other hand, an angle is formed by two rays, each with its own endpoint, meeting at a common vertex.
An angle is two rays: As mentioned earlier, an angle is created when two rays share a common endpoint. The two rays are referred to as the sides of the angle, and the endpoint they share is called the vertex.
The measure of an angle is determined by the amount of rotation: The measure of an angle is not dependent on the lengths of its sides but rather on the amount of rotation between its two rays. To measure an angle, we compare it to a standard unit of angle measurement, usually degrees. One full rotation (360 degrees) corresponds to a complete circle, and angles are measured based on the fraction of a full circle they represent.
The measure of an angle remains the same at all distances from its vertex: The measure of an angle is independent of the length of its sides or how far away an observer is from the vertex. For example, a 60-degree angle remains a 60-degree angle whether you look at it from up close or from a distance. This is because the measure of an angle depends only on the relative positions of its two rays, not on the size of the shape it forms.
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PLEASE HELP (PRE-ALGEBRA) MULTIPLE CHOICE! WILL GIVE BRAINLEIST! (photo attached!)
If the triangle on the grid below is translated by using the rule (x,y) → (x−2.y+2), what will be the coordinates of A'?
(4,0)
(0,4)
(0,0)
(-2.2)
Answer:
(-4, 0)
Step-by-step explanation:
x-2 means ur gonna take coordinate A and move it back 2 places along the x axis, (-4,-2) and then y+2 means ur gonna go up to places alomg the y axis which brings coordinate A' to (-4,0)
Answer:
A'(-4, 0)
Step-by-step explanation:
(x, y) → (x - 2, y + 2)
A(-2,-2 )→ A'(-2-2,-2+2)
= A'(-4,0)
Given right triangle QRS, what is the value of sin(30°)?
Answer:
1/2
Step-by-step explanation:
(Is this the question? In the pic above)
Sin of an angle os the side opposite over it divided by the hypotenuse.
Sin = opposite/hypotenuse
Sin = 5/10
Sin = 1/2
Please help me find the answer to this problem
-2/3.
That is the slope because this equation is written in slope-intercept form (y=mx+b) where...
m= slope
b = y-intercept
divided it by 7 and added
divided it by 7 and added 25. the result was 34 what was my number?
25. the result was 34 what was my number?
Answer:
your questions is not clear but from my observations
let the number be x
x/7+25=34
x+175/7=34
x+175=238
x=238-175
×=63
please mark me as brainlyst
6. Which equation has a slope of - 7 and contains
(-2,-2) ?
A. y-2=-2(x-7)
B. y + 2 = 7(x-2)
C. y-2=-7(x + 2)
D. y + 2 = 7(x + 2)
Answer:
so there is no answer in choice
Step-by-step explanation:
y=mx+b
so we have m,y and x so we have to find b
-2=-7×-2+b
b=-16
so y=-7x-16
the answer should be
y+2=-7(x+2)
A triangular prism and two nets are shown:
A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 18 inches. Net A has 3 rectangles having dimensions 5 by 18, 18 by 12, and 18 by 13, and two triangles having legs 12 inches and 5 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 18, and two triangles having legs 5 inches and 12 inches.
Which is the correct net of the prism and what is the surface area of the prism?
The surface area of the triangular prism is 480 square inches and net A is the correct net of the prism
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have given a triangular prism with its net.
After analyzing the correct net will be net A because the inner rectangle length should be 14 in not 13 in.
The surface area of the triangular prism:
[tex]= 2[\dfrac{1}{2}(5\times12)]+ 5\times 14+ 12 \times 14+ 13\times 14[/tex]
After solving:
The surface area = 480 square inches.
Thus, the surface area of the triangular prism is 480 square inches and net A is the correct net of the prism
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Solve and show your work for each equation.
What is 0.36... (36 repeating) expressed as a fraction in its simplest form?
What is 0.36... (6 repeating) expressed as a fraction in its simplest form?
Answer:
The answer will be 9/25.
Please mark me as the brainliest.
-5
-3-2
5
4
3
2
4
-2
بله با
-3
-4
-5
y
1 2 3 4
5
x
The distance between the two points pictured is d =
Use the distance formula to find n.
d = √(x2-x₁)² + (V₂-V₁)²
n =
Answer:
n = 61
Step-by-step explanation:
The subscripted values of x and y in the formula refer to the coordinates of the points:
[tex](x_1,y_1)=(-3,-2)\qquad(x_2,y_2)=(2,4)[/tex]
Substitute the given values and do the arithmetic.
__
Using these values in the formula gives ...
[tex]d=\sqrt{n}=\sqrt{(2-(-3))^2+(4-(-2))^2}=\sqrt{5^2+6^2}=\sqrt{25+36}\\\\d=\sqrt{n}=\sqrt{61}\\\\\boxed{n=61}[/tex]
Distance
√(2+3)²+(4+2)²√5²+6²√25+36√61√n=√61
n=61
Please help me with this question
Answer:
7
Step-by-step explanation:
OK, so we're looking for the index in the fourth column and the fourth row
which is gonna be 7 if you count correctly
Find the distance between 4.5 and -1.4.?
Answer:
4.5-1.4=3.1
Step-by-step explanation:
Hope this answers your question!
If not, I am sorry.
The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar if Lynn exchanges 4,000 pesos for US dollars what was the approximate value in US dollars
Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,
19 pesos = 1 dollar
1 pesos = 1/19 dollar
if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,
4,000 pesos = 4000/19 = 210.53 dollars
Hence, the approximate value in US dollars is $210.53.
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Can someone help me out on this problem ?
Pick one answer choice. Please help! I want to make sure i’m doing it right for practice test!
The product of the two functions is:
[tex](f \times g)(x) = 10x[/tex]
So the correct option is A.
Which one is the equivalent expression?Remember that the square root has the property.
[tex]\sqrt{a}*\sqrt{b} = \sqrt{a*b}[/tex]
Here we have:
[tex]f(x) = \sqrt{2x} \\\\g(x) = \sqrt{50x}[/tex]
Then the product is:
[tex](f \times g)(x) = 10x = f(x)*g(x) = \sqrt{2x}*\sqrt{50x} = \sqrt{(2x)*(50x)} \\\\(f \times g)(x) = 10x = \sqrt{100x^2} = \sqrt{100}*\sqrt{x^2} = 10*x[/tex]
the correct option is A.
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What is the greatest area of a rectangle with a perimeter of 60cm? What is the length and width of this rectangle?
The length and width of this rectangle are 15 cm respectively
How to determine the greatest area?The perimeter is given as:
Perimeter, P = 60
The greatest area is calculated as:
Greatest = (P/4)^2
Substitute 60 for P
Greatest = (60/4)^2
Evaluate the quotient
Greatest = 15^2
Evaluate the exponent
Greatest = 225 square centimeters
Hence, the greatest area is 225 square centimeters
How to determine the length and widthWe understand that the area is the greatest.
In such a scenario;
Length = Width
This means that:
Area =Length^2 =Width^2
So, we have:
Length^2 =Width^2 = 225
Take the square root
Length =Width = 15
Hence, the length and width of this rectangle are 15 cm respectively
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The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.
A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200.
Which is the marginal relative frequency for the people who do not like cantaloupe?
StartFraction 25 Over 91 EndFraction
StartFraction 66 Over 200 EndFraction
StartFraction 91 Over 200 EndFraction
StartFraction 66 Over 91 EndFraction
The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/
The correct option is (C),
What is Marginal Relative frequency?Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.
Given:
Watermelon Not watermelon Total
Cantaloupe 93 16 109
Not cantaloupe 66 25 91
Total 159 41 200
Hence, the Marginal Relative frequency is = 91/200 = 0.455
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BRAINLY IF CORRECT!!!
Does anyone know what the s inside the angle mean. The symbol?
Answer: I'm 90% sure that the S inside the angle is spatial points
The full Definition of the symbol combination is approximately equal to Spatial points?
Step-by-step explanation:
I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays." I'm sorry if I'm wrong.
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)
[Please answer ASAP, need help on assignment due today.]
Answer:
The triangle will translate along the arrow and reach the head of the arrow.
Step-by-step explanation:
Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.
In the given figure, the triangle is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.
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Garth is packing boxes with books.the list shows how many books are in each 10 of boxes
The median of books to a box is 9 and The mean of books to a box is 11
The complete question is
Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15
Which statement is true about the number of boxes packed to a box?
A) The median # of books to a box is 8
B) The median # of books to a box is 9
C) The mean # of books to a box is 11
D) The mean # of books to a box is 12
What is Mean and Median ?Mean is the average of the data given while the median is the middle point of the data.
It is given that
The data is
6, 14, 6, 18, 9, 9, 12, 10, 11, 15
The mean is
(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11
and the median is 9
Therefore Option B and C is the correct answer.
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